C. The marble moved 30 cm north in 6 seconds.
This gives a scientific or correct value of object in motion among all other options.
<em>-</em><em> </em><em>BRAINLIEST</em><em> answerer</em>
I'm not sure what your question is. But, the half life is the amount of time required for half the material to decay. For U238 this is 4.5 billion years, whilst for Fr-223 (Francium) its about 22 minutes. To calculate the time for something to decay you need to use the equation:
Mass (after time t) = Mass (initial) * (0.5)^(time/half life)
Hope this helps
Answer:
The minimum frequency is 702.22 Hz
Explanation:
The two speakers are adjusted as attached in the figure. From the given data we know that
=3m
=4m
By Pythagoras theorem
![S_2O=\sqrt{(S_1S_2)^2+(S_1O)^2}\\S_2O=\sqrt{(3)^2+(4)^2}\\S_2O=\sqrt{9+16}\\S_2O=\sqrt{25}\\S_2O=5m](https://tex.z-dn.net/?f=S_2O%3D%5Csqrt%7B%28S_1S_2%29%5E2%2B%28S_1O%29%5E2%7D%5C%5CS_2O%3D%5Csqrt%7B%283%29%5E2%2B%284%29%5E2%7D%5C%5CS_2O%3D%5Csqrt%7B9%2B16%7D%5C%5CS_2O%3D%5Csqrt%7B25%7D%5C%5CS_2O%3D5m)
Now
The intensity at O when both speakers are on is given by
![I=4I_1 cos^2(\pi \frac{\delta}{\lambda})](https://tex.z-dn.net/?f=I%3D4I_1%20cos%5E2%28%5Cpi%20%5Cfrac%7B%5Cdelta%7D%7B%5Clambda%7D%29)
Here
- I is the intensity at O when both speakers are on which is given as 6
![W/m^2](https://tex.z-dn.net/?f=W%2Fm%5E2)
- I1 is the intensity of one speaker on which is 6
![W/m^2](https://tex.z-dn.net/?f=W%2Fm%5E2)
- δ is the Path difference which is given as
![\delta=S_2O-S_1O\\\delta=5-4\\\delta=1 m](https://tex.z-dn.net/?f=%5Cdelta%3DS_2O-S_1O%5C%5C%5Cdelta%3D5-4%5C%5C%5Cdelta%3D1%20m)
- λ is wavelength which is given as
![\lambda=\frac{v}{f}](https://tex.z-dn.net/?f=%5Clambda%3D%5Cfrac%7Bv%7D%7Bf%7D)
Here
v is the speed of sound which is 320 m/s.
f is the frequency of the sound which is to be calculated.
![16=4\times 6 \times cos^2(\pi \frac{1 \times f}{320})\\16/24= cos^2(\pi \frac{1f}{320})\\0.667= cos^2(\pi \frac{f}{320})\\cos(\pi \frac{f}{320})=\pm0.8165\\\pi \frac{f}{320}=\frac{7 \pi}{36}+2k\pi \\ \frac{f}{320}=\frac{7 }{36}+2k \\\\ {f}=320 \times (\frac{7 }{36}+2k )](https://tex.z-dn.net/?f=16%3D4%5Ctimes%206%20%5Ctimes%20cos%5E2%28%5Cpi%20%5Cfrac%7B1%20%5Ctimes%20f%7D%7B320%7D%29%5C%5C16%2F24%3D%20cos%5E2%28%5Cpi%20%5Cfrac%7B1f%7D%7B320%7D%29%5C%5C0.667%3D%20cos%5E2%28%5Cpi%20%5Cfrac%7Bf%7D%7B320%7D%29%5C%5Ccos%28%5Cpi%20%5Cfrac%7Bf%7D%7B320%7D%29%3D%5Cpm0.8165%5C%5C%5Cpi%20%5Cfrac%7Bf%7D%7B320%7D%3D%5Cfrac%7B7%20%5Cpi%7D%7B36%7D%2B2k%5Cpi%20%5C%5C%20%5Cfrac%7Bf%7D%7B320%7D%3D%5Cfrac%7B7%20%7D%7B36%7D%2B2k%20%5C%5C%5C%5C%20%7Bf%7D%3D320%20%5Ctimes%20%28%5Cfrac%7B7%20%7D%7B36%7D%2B2k%20%29)
where k=0,1,2
for minimum frequency
, k=1
![{f}=320 \times (\frac{7 }{36}+2 \times 1 )\\\\{f}=320 \times (\frac{79 }{36} )\\\\ f=702.22 Hz](https://tex.z-dn.net/?f=%7Bf%7D%3D320%20%5Ctimes%20%28%5Cfrac%7B7%20%7D%7B36%7D%2B2%20%5Ctimes%201%20%29%5C%5C%5C%5C%7Bf%7D%3D320%20%5Ctimes%20%28%5Cfrac%7B79%20%7D%7B36%7D%20%29%5C%5C%5C%5C%20f%3D702.22%20Hz)
So the minimum frequency is 702.22 Hz
Answer:
False
Explanation:
ac = v^2/r
acceleration is not dependent on the mass of the orbiting object.